MinT - Information on Result #909112

Information on Result #909112

Linear OOA(3¹⁹⁰, 98, F₃, 2, 126) (dual of [(98, 2), 6, 127]-NRT-code), using juxtaposition based on

linear OOA(3⁸, 7, F₃, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁷⁶, 91, F₃, 2, 118) (dual of [(91, 2), 6, 119]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁸, 7, F₃, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code) (see above)
  2. linear OOA(3¹⁶², 84, F₃, 2, 110) (dual of [(84, 2), 6, 111]-NRT-code), using
    - generalized (u,Â u+v)-construction [i] based on
      1. linear OOA(3⁵¹, 28, F₃, 2, 36) (dual of [(28, 2), 5, 37]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,19P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [i]
      2. linear OOA(3⁵⁵, 28, F₃, 2, 55) (dual of [(28, 2), 1, 56]-NRT-code), using
        dual of repetition NRT-code with length 28 [i]
      3. linear OOA(3⁵⁶, 28, F₃, 2, 56) (dual of [(28, 2), 0, 57]-NRT-code), using
        complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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